Grade: 6Unit: 6 Week: 6Content: Math Dates: 5/13 – 5/17
Theme Essential Question:
Essential Questions: How can you choose appropriate measures of center and variability to descrive a data set?
Standards CC.6.SP.5 Summarize and describe distributions. Summarize numerical data sets in relation to their context, such as by: a) Reporting the number of observations. b) Describing the nature of the attribute under investigation, including how it was measured and its units of measurement. c) Giving quatitative measures of center (median and/or mean) and variability (interquartile range and/or absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data was gathered. d) Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data was gathered.
Objectives
Students will summarize numberical data by providing background information about the attribute being measured, methods and unit measurement, the context of data collections activities, the number of observations and summary statistics.
a) Describe a data set by stating what quantity was measured and how it was measured. b) Describe a data set by stating what quantity was measured and how it was measured. c) Understand the mean as a fair share and balanced point. Summarize a data set by using mean, median, and mode. Describe overall patterns in data, including clusters, peaks, gaps, and symmetry. Understand mean absolute deviation as a measure of variability from the mean. Summarize a data set by using range, interquartile range, and mean absolute deviation. d) Determine the effects of outliers on measures of center and variability. Choose appropriate measures of center and variability to describe data, and justify the choice.
Assessment Product
Students will generate a set of data to find the measure of center and variability in their set.
Key Questions
How can you describe how a data set was collected?
How can you describe a set of data using mean, median and mode?
How can you summarize a data set by using range, interquartile range and mean absolute deviation?
How does an outlier affect measures of center?
Observable Behaviors
Students will summarize numerical data sets in relation to their context.
Mathematical Practices 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.
Vocabulary
Math
attribute fair share balance point measure of center mean median mode cluster gap symmetry peak counters number lines measure of variability range interquartile range outlier
Suggested Activities 1) On-Core
Mean Median Mode (Lessons 97-101)
Range, Interquartile Range, Mean (Lessons 102-104)
2) Mastering the Common Core
Chapter 13 Statistics pgs. 169-177
3) JBHM 4) Glencoe
6th Grade Mean Median Mode Range (pgs. 76-83)
6th Grade Box Plot (pg. 84)
7th Grade Box Plot (pgs. 80-84)
7th Grade Dot Plot (pgs. 64-68)
7th Grade Mean Median Mode Range (pgs. 69-73)
Homework See appropriate suggested activities
Terminology for Teachers: Attribute- the characteristic being recorded or measured.
CC.6.SP.5 Turning Over a Good Leaf: Working With Stem and Leaf Plots
The slides have 20 slides that teach and test for working with stem-and-leaf plots as you prepare for the state assessments. Peach-colored slides are for teaching and learning. Light blue-colored slides are for SMART Response questions. There are questions with the highest level of Bloom's Taxonomy included. I use this in a special education class and they can easily do this activity, with assistance.
CC.6.SP.5 Discovering the Mean
In this lesson, students get the definition of mean, and represent the mean of a set of data visually.
CC.6.SP.5 Measures of Central Tendency
Students learn the meaning of mean, median, and mode and determine the "average" allowance for their class.
CC.6.SP.5 How Do I Find the Median
This lesson activity is used as a math center or whole group review of finding the median of a set of numbers or objects.
Theme Essential Question:
Essential Questions:
How can you choose appropriate measures of center and variability to descrive a data set?
Standards CC.6.SP.5
Summarize and describe distributions. Summarize numerical data sets in relation to their context, such as by:
a) Reporting the number of observations.
b) Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.
c) Giving quatitative measures of center (median and/or mean) and variability (interquartile range and/or absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data was gathered.
d) Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data was gathered.
Objectives
- Students will summarize numberical data by providing background information about the attribute being measured, methods and unit measurement, the context of data collections activities, the number of observations and summary statistics.
a) Describe a data set by stating what quantity was measured and how it was measured.b) Describe a data set by stating what quantity was measured and how it was measured.
c) Understand the mean as a fair share and balanced point. Summarize a data set by using mean, median, and mode. Describe overall patterns in data, including clusters, peaks, gaps, and symmetry. Understand mean absolute deviation as a measure of variability from the mean. Summarize a data set by using range, interquartile range, and mean absolute deviation.
d) Determine the effects of outliers on measures of center and variability. Choose appropriate measures of center and variability to describe data, and justify the choice.
Assessment
Product
Key Questions
Observable Behaviors
1. Make sense of problems and persevere in
solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Vocabulary
fair share
balance point
measure of center
mean
median
mode
cluster
gap
symmetry
peak
counters
number lines
measure of variability
range
interquartile range
outlier
Suggested Activities
1) On-Core
- Mean Median Mode (Lessons 97-101)
- Range, Interquartile Range, Mean (Lessons 102-104)
2) Mastering the Common Core- Chapter 13 Statistics pgs. 169-177
3) JBHM4) Glencoe
Homework
See appropriate suggested activities
Terminology for Teachers:
Attribute- the characteristic being recorded or measured.
Ethnicity/Culture | Immigration/Migration | Intercultural Competence | Socialization | Racism/Discrimination
High Yield Strategies
Similarities/Differences | Summarizing/Notetaking | Reinforcing/Recognition | Homework/Practice |
Non-Linguistic representation | Cooperative Learning | Objectives/Feedback |
Generating-Testing Hypothesis | Cues, Questions, Organizers
Resources
Literary Texts
Informational Texts
Art, Music, and Media
Manipulatives
Games
Videos
Sight Words
SMART Board Lessons, Promethean Lessons
- CC.6.SP.5 Turning Over a Good Leaf: Working With Stem and Leaf Plots
The slides have 20 slides that teach and test for working with stem-and-leaf plots as you prepare for the state assessments. Peach-colored slides are for teaching and learning. Light blue-colored slides are for SMART Response questions. There are questions with the highest level of Bloom's Taxonomy included. I use this in a special education class and they can easily do this activity, with assistance.- CC.6.SP.5 Discovering the Mean
In this lesson, students get the definition of mean, and represent the mean of a set of data visually.- CC.6.SP.5 Measures of Central Tendency
Students learn the meaning of mean, median, and mode and determine the "average" allowance for their class.- CC.6.SP.5 How Do I Find the Median
This lesson activity is used as a math center or whole group review of finding the median of a set of numbers or objects.Other Activities, etc.
Language
Arts
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Week 6
6 Matrix
6 PAP Matrix
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Week 4
Week 5
Week 6
Home K-2
Home 3-6
Home 6-8
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Unit 2
Unit 3
Unit 4
Unit 5
Unit 6